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96120576 = 283241719
BaseRepresentation
bin1011011101010…
…10111100000000
320200212102122100
411232222330000
5144101324301
613312110400
72245003626
oct556527400
9220772570
1096120576
114a2918a2
1228235400
1316bb5aa6
14caa1516
15868a286
hex5baaf00

96120576 has 54 divisors (see below), whose sum is σ = 277145960. Its totient is φ = 32039424.

The previous prime is 96120569. The next prime is 96120599. The reversal of 96120576 is 67502169.

96120576 is a `hidden beast` number, since 9 + 61 + 20 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 96120576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18556 + ... + 23163.

Almost surely, 296120576 is an apocalyptic number.

96120576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96120576 is an abundant number, since it is smaller than the sum of its proper divisors (181025384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96120576 is a wasteful number, since it uses less digits than its factorization.

96120576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41741 (or 41724 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 96120576 is about 9804.1101584999. The cubic root of 96120576 is about 458.0773182968.

The spelling of 96120576 in words is "ninety-six million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 41719 83438 125157 166876 250314 333752 375471 500628 667504 750942 1001256 1335008 1501884 2002512 2670016 3003768 4005024 5340032 6007536 8010048 10680064 12015072 16020096 24030144 32040192 48060288 96120576